Networking issue, access service indirectly
Solution 1:
Sounds to me like a classic university/school/workplace blocking ports or filtering traffic, my first suggestion would be don't try bypass their firewalls, from experience it's there for a reason and they don't look kindly on people getting around it.
Next; changing the routing on your computer will completely depend on the operating system that your using, so what OS are you running on the client?
For it to work you will probably need to create some kind of VPN connection so that the blocked traffic is tunneled through the filter instead of been dropped. Basically this will mean installing a VPN client on the workstation within your university and then also install a VPN server somewhere on the internet (outside of your university).
Alternatively you could purchase a VPN service, in which case you wouldn't need to supply the public internet VPN server, which would save some money if you don't already have the public server.
Finally most VPN services will operate as a default route for your traffic, meaning any internet facing traffic will go over this encrypted tunnel. You simply need to add your own routing on the operating system that will just use the tunnel for your application traffic and all other traffic will be routed as normal.
As stated before this completely depends on the operating system that your using.